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Finding the Third Proportional to 76,486.78 and 165,574.13

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Solution

The third proportional to 76,486.78 and 165,574.13 is: 358,425.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,486.78 : 165,574.13 = 165,574.13 : x
  2. Step 2: Convert to fraction form
    76,486.78/165,574.13 = 165,574.13/x
  3. Step 3: Cross multiply
    76,486.78x = 165,574.13 × 165,574.13
  4. Step 4: Simplify right side
    76,486.78x = 27,414,790,869.52
  5. Step 5: Solve for x
    x = 27,414,790,869.52/76,486.78
  6. Step 6: Final answer
    x = 358,425.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.